Abstract
In this survey we describe some ways in which algebras of integer-valued polynomials arise in stable homotopy theory and in the study of formal group laws. For several generalized homology theories certain values of the theories have a natural description as such algebras and since these values are the ones arising in the construction of the Adams-Novikov spectral sequence for computing stable homotopy groups these algebras and their homological properties are of considerable interest.
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